102210011000111 has 24 divisors (see below), whose sum is σ = 121174246387584. Its totient is φ = 85931790235200.

The previous prime is 102210011000107. The next prime is 102210011000113. The reversal of 102210011000111 is 111000110012201.

It is not a de Polignac number, because 102210011000111 - 2² = 102210011000107 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102210011000092 and 102210011000101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102210011000113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3936386 + ... + 14829536.

It is an arithmetic number, because the mean of its divisors is an integer number (5048926932816).

Almost surely, 2^{102210011000111} is an apocalyptic number.

102210011000111 is a deficient number, since it is larger than the sum of its proper divisors (18964235387473).

102210011000111 is a wasteful number, since it uses less digits than its factorization.

102210011000111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10896831 (or 10896824 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 102210011000111 its reverse (111000110012201), we get a palindrome (213210121012312).

The spelling of 102210011000111 in words is "one hundred two trillion, two hundred ten billion, eleven million, one hundred eleven", and thus it is an aban number.